428016064 has 56 divisors (see below), whose sum is σ = 973104480. Its totient is φ = 182977536.

The previous prime is 428016053. The next prime is 428016091. The reversal of 428016064 is 460610824.

It is a tau number, because it is divible by the number of its divisors (56).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 227094 + ... + 228970.

Almost surely, 2^428016064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428016064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486552240).

428016064 is an abundant number, since it is smaller than the sum of its proper divisors (545088416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

428016064 is a wasteful number, since it uses less digits than its factorization.

428016064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 428016064 is about 20688.5491033083. The cubic root of 428016064 is about 753.6216325908.

Adding to 428016064 its reverse (460610824), we get a palindrome (888626888).

The spelling of 428016064 in words is "four hundred twenty-eight million, sixteen thousand, sixty-four".